The Lagrangean Hydrodynamic Representation of Dirac Equation

  • Piero Chiarelli University of Pisa, Italy
Keywords: Hydrodynamic Form of Dirac Equation, Energy-Impulse Tensor of Charged Fermion Field, Gravity of Classical Charged Fermion Field


This work derives the Lagrangean hydrodynamic representation of the Dirac field that, by using the minimum action principle in the non-Euclidean generalization, can possibly lead to the formulation of the Einstein equation as a function of the fermion field.

Author Biography

Piero Chiarelli, University of Pisa, Italy

National Council of Research of Italy, Area of Pisa, 56124 Pisa, Moruzzi 1, Italy

Interdepartmental Center “E. Piaggio” University of Pisa, Italy


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